under what condtions is a hypothesis supported

I'm not sure what you mean. Are you asking what makes a good or valid hypothesis?

(in that case:

" * Testability (or falsifiability)
* Simplicity (as in the application of "Occam's Razor", discouraging the postulation of excessive numbers of entities)
* Scope - the apparent application of the hypothesis to multiple cases of phenomena
* Fruitfulness - the prospect that a hypothesis may explain further phenomena in the future
* Conservatism - the degree of "fit" with existing recognised knowledge-systems"

--Wikipedia's "Hypothesis")

Otherwise, can you elaborate?

To determine whether a hypothesis is supported, certain conditions need to be met. Here's a general guideline on how to evaluate the support for a hypothesis:

1. Formulate the hypothesis: Start by stating a clear and specific hypothesis. It should be a statement that can be tested and potentially proven or disproven.

2. Design a study: Develop an appropriate study or experiment to test the hypothesis. This involves selecting a sample or group to be studied, deciding on the variables to be measured or manipulated, and establishing the conditions or treatment groups.

3. Collect data: Gather relevant data by conducting observations, experiments, surveys, or other methods depending on the nature of the hypothesis. Ensure that the data collected is reliable and valid.

4. Analyze the data: Use appropriate statistical or analytical methods to analyze the collected data. This may involve performing calculations, comparisons, tests, or employing statistical modeling techniques.

5. Interpret the results: Based on the analysis, interpret the findings in relation to the hypothesis. Consider the statistical significance of the results, which indicates the likelihood of the observed effect being due to more than just chance.

6. Consider the confidence level: Evaluate the level of confidence you have in the results. This involves considering the sample size, statistical power, potential sources of bias, and any limitations of the study.

7. Compare with existing knowledge: Review the existing literature or previous studies related to the hypothesis. Determine whether your findings align or contradict those of other researchers and assess how well your results contribute to the overall understanding of the topic.

8. Draw conclusions: Based on the analysis and relevant comparisons, reach a conclusion about whether the hypothesis is supported or not. Be cautious not to overgeneralize the findings beyond the scope of the study.

It is important to note that in science, it is not always possible to definitively "prove" a hypothesis as true. Instead, hypotheses are typically supported or not supported based on the available evidence.